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3 years ago

Find the range of values of x for which |x-4| is greater than or equal to 2

Mathematics

1 answer:

8_murik_8 [283]3 years ago

5 0

Answer:

|x-4| >= 2

=> x-4 >= 2 or x-4 <= -2

=> x>=6 or x <= 2

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Evaluate the iterated integral 2 0 2 x sin(y2) dy dx. SOLUTION If we try to evaluate the integral as it stands, we are faced wit

nignag [31]

Answer:

Step-by-step explanation:

Given that:

$\int^2_0 \int^2_x \ sin (y^2) \ dy dx \\ \\ \text{Using backward equation; we have:} \\ \\ \int^2_0\int^2_0 sin(y^2) \ dy \ dx = \int \int_o \ sin(y^2) \ dA \\ \\ where; \\ \\ D= \Big\{ (x,y) | }0 \le x \le 2, x \le y \le 2 \Big\}$

$\text{Sketching this region; the alternative description of D is:} \\ D= \Big\{ (x,y) | }0 \le y \le 2, 0 \le x \le y \Big\}$

$\text{Now, above equation gives room for double integral in reverse order;}$

$\int^2_0 \int^2_0 \ sin (y^2) dy dx = \int \int _o \ sin (y^2) \ dA \\ \\ = \int^2_o \int^y_o \ sin (y^2) \ dx \ dy \\ \\ = \int^2_o \Big [x sin (y^2) \Big] ^{x=y}_{x=o} \ dy \\ \\= \int^2_0 ( y -0) \ sin (y^2) \ dy \\ \\ = \int^2_0 y \ sin (y^2) \ dy \\ \\ y^2 = U \\ \\ 2y \ dy = du \\ \\ = \dfrac{1}{2} \int ^2 _ 0 \ sin (U) \ du \\ \\ = - \dfrac{1}{2} \Big [cos \ U \Big]^2_o \\ \\ = - \dfrac{1}{2} \Big [cos \ (y^2) \Big]^2_o \\ \\ = - \dfrac{1}{2} cos (4) + \dfrac{1}{2} cos (0) \\ \\$

$= - \dfrac{1}{2} cos (4) + \dfrac{1}{2} (1) \\ \\ = \dfrac{1}{2}\Big [1- cos (4) \Big] \\ \\ = \mathbf{0.82682}$

5 0

3 years ago

Match the following equation to the correct situation.

makkiz [27]

Answer:

The correct answer is option B and D.

Step-by-step explanation:

A. Shawn owed 40% of his tuition bill, b, after paying $6.00

= 40%of (b-6)

B. The amount donated to the school was 40% more that $6.00.

Amount donated to the school = b

b=6+40% of b

C. The cost for a coat was 40% of the sum of b and $6.00.

= 40%(b+6)

D. Summer paid $6.00 more than 40% of b.

Amount by summer = x

= 40%b+6

4 0

3 years ago

A circle with center at (0,0) passes through (-8,0. Find the circumference and area of the circle in terms of p.

klemol [59]

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3 0

3 years ago

Judy uses 9.7 pints of blue paint and white paint to paint her bedroom walls.3/5

Sindrei [870]

Answer:

3.88 Pints

Step-by-step explanation:

First we need to find the amount of blue paint that was used. We can do that by multiplying 9.7 by 0.60 since that is 3/5 in decimal form

$9.7*0.60=5.82$

Now we know how much blue paint was used, now we just need to find how much white paint was used. We can do that by subtracting our amount of blue paint from the total amount of paint used

$9.7-5.82=3.88$

thus, 3.88 is the amount of white paint used

8 0

2 years ago

Hey yall i need help again im just lazy but will mark brainlyest

ElenaW [278]

Answer: 1=1 question 2 = 1 again 5-6 is the next and 4 3-10 5-6 next answer2-7 3-8 5-4 -22--9 2-29 are all the answers

Step-by-step explanation:

3 0

3 years ago

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